The measure of angle is 49 degrees and measure of supplement of angle is 131 degrees
Solution:
Let the angle be "x"
Let the measure of supplement of angle is "y"
Supplementary angles are two angles whose sum is 180 degrees
Therefore,
x + y = 180 ----- eqn 1
The supplement of the measurement of an angle is 16 degrees less than three times the angle
y = 3x - 16 --------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
x + 3x - 16 = 180
4x = 180 + 16
4x = 196
Divide both sides of equation by 4
x = 49
Substitute x = 49 in eqn 2
y = 3(49) - 16
y = 147 - 16
y = 131
Thus the measure of angle is 49 degrees and measure of supplement of angle is 131 degrees